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Finding the Third Proportional to 38,315,466 and 83,653,924

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Solution

The third proportional to 38,315,466 and 83,653,924 is: 182,641,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315,466 : 83,653,924 = 83,653,924 : x
  2. Step 2: Convert to fraction form
    38,315,466/83,653,924 = 83,653,924/x
  3. Step 3: Cross multiply
    38,315,466x = 83,653,924 × 83,653,924
  4. Step 4: Simplify right side
    38,315,466x = 6,997,979,000,597,776
  5. Step 5: Solve for x
    x = 6,997,979,000,597,776/38,315,466
  6. Step 6: Final answer
    x = 182,641,103.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.